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Recursive Functions and Metamathematics

Problems of Completeness and Decidability, Gödel’s Theorems

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Kurzbeschreibung

Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.

Details
Schlagworte

Titel: Recursive Functions and Metamathematics
Autoren/Herausgeber: Roman Murawski
Aus der Reihe: Synthese Library
Ausgabe: Softcover reprint of hardcover 1st ed. 1999

ISBN/EAN: 9789048152988

Seitenzahl: 395
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 629 g
Sprache: Englisch

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